COMEDK 2025 Morning Shift | Probability Question 10 | Mathematics

In an entrance test, there are multiple choice questions. There are four possible answers to each question of which only one is correct. The probability that a student knows the answer to a question is $90 \%$. If he gets the correct answer to a question, then the probability that he was guessing is

$\frac{36}{37}$

$\frac{1}{9}$

$\frac{1}{37}$

$\frac{37}{40}$

COMEDK 2024 Evening Shift

MCQ (Single Correct Answer)

-0

While shuffling a pack of cards, 3 cards were accidently dropped, then find the probability that the missing cards belong to different suits?

$$\frac{104}{425}$$

$$\frac{169}{425}$$

$$\frac{261}{425}$$

$$\frac{169}{261}$$

COMEDK 2024 Evening Shift

MCQ (Single Correct Answer)

-0

Let $$\mathrm{A}$$ and $${B}$$ be two events such that $$P(A / B)=\frac{1}{2}$$ and $$P(B / A)=\frac{1}{3}$$ and $$P(A \cap B)=\frac{1}{6}$$ then, which one of the following is not true?

$$ \mathrm{A} \text { and } \mathrm{B} \text { are not independent } $$

$$ P(A \cup B)=\frac{2}{3} $$

$$ P\left(A^{\prime} \cap B\right)=\frac{1}{6} $$

$$ A \text { and } B \text { are independent } $$

COMEDK 2024 Evening Shift

MCQ (Single Correct Answer)

-0

A coin is tossed until a head appears or until the coin has been tossed three times. Given that 'head' does not appear on the first toss, what is the probability that the coin is tossed thrice?

$$\frac{1}{2}$$

$$\frac{3}{8}$$

$$\frac{1}{8}$$

$$\frac{1}{4}$$

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